Embedded videos playing in new tab

Hi all,
I have searched all over the google for my query but still could not find any positive answer.

I have a tube website. I do not upload the videos, rather i embed the videos by other video services.
The problem is that when i embed videos of youtube, vimeo, flyflv then the videos are played on my website. That is when a user clicks play button video starts playing on my website.
But when i embed videos of websites like xvideos, redtube or xhamster (adult websites) then instead of playing on my website, when a user clicks play button , a new tab opens of the website of which i have taken the video to embed.
On the web browser the videos are loading absolutely fine.
The problem lies in the mobile browser. Mobile visitors of my website when click on the play button a new tab opens up directing towards that specific video on the website where the video is hosted.

Here is a screenshot of the problem: http://postimg.org/image/ji1a9al9j/

Is there any solution for that? I Do not want my visitors to go away from my website.
Can i tweak the embed code so that the video plays on my website? Or is there any kind of player available which can embed videos and play on my website itself?

Please help.

Thanks and regards